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Finding the Fourth Proportional to 307,774.80, 460,611.90 and 257,911.20

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Solution

The fourth proportional to 307,774.80, 460,611.90 and 257,911.20 is: 385,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774.80 : 460,611.90 = 257,911.20 : x
  2. Step 2: Convert to fraction form
    307,774.80/460,611.90 = 257,911.20/x
  3. Step 3: Cross multiply
    307,774.80x = 460,611.90 × 257,911.20
  4. Step 4: Simplify right side
    307,774.80x = 118,796,967,863.28
  5. Step 5: Solve for x
    x = 118,796,967,863.28/307,774.80
  6. Step 6: Final answer
    x = 385,986.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.